A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o
n each trip. The total duration of a round trip from point A to point B and back is 80 minutes, ignoring the time spent stopped at point B. If d is the ferry’s distance from point A in miles and t is the time in minutes, which equation models the ferry’s distance from point A for the duration of the trip?
A.
d = -|0.35t – 40| + 40
B.
d = -|0.35t – 80| + 80
C.
d = -|0.35t – 28| + 28
D.
d = -|0.35t – 14| + 14
A.
d = -|0.35t – 40| + 40
B.
d = -|0.35t – 80| + 80
C.
d = -|0.35t – 28| + 28
D.
d = -|0.35t – 14| + 14
1 answer:
The answer is -|0.35 t -14| +14
<u>Step-by-step explanation</u>:
The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.
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. Lets workout the solution ourselves to figure it out where the student made the first mistake:
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
We can conclude that the student made the first mistake in step 3. He added 3x to both sides of the equation instead of subtract 3x from both sides of the equation; he also subtracted 4 to both sides of the equation instead of add 4 pf both sides. The correct step is <span>Step 3: 8x − 3x = 16 + 4</span>
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
We can conclude that the student made the first mistake in step 3. He added 3x to both sides of the equation instead of subtract 3x from both sides of the equation; he also subtracted 4 to both sides of the equation instead of add 4 pf both sides. The correct step is <span>Step 3: 8x − 3x = 16 + 4</span>